Parametrization, also spelled parameterization, parametrisation or parameterisation, is the process of defining or choosing

parameter A parameter (), generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when ...

s. Parametrization may refer more specifically to: *

Parametrization (geometry) In mathematics, and more specifically in geometry, parametrization (or parameterization; also parameterisation, parametrisation) is the process of finding parametric equations of a curve, a surface, or, more generally, a manifold or a variety, de ...

, the process of finding parametric equations of a curve, surface, etc. **

Parametrization by arc length Differential geometry of curves is the branch of geometry that deals with smooth curves in the plane and the Euclidean space by methods of differential and integral calculus. Many specific curves have been thoroughly investigated using the sy ...

, a natural parametrization of a curve * Parameterization theorem or ''s''_''mn'' theorem, a result in computability theory *

Parametrization (atmospheric modeling) Parameterization in a weather or climate model in the context of numerical weather prediction is a method of replacing processes that are too small-scale or complex to be physically represented in the model by a simplified process. This can be contr ...

, a method of approximating complex processes

See also